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Finding the Third Proportional to 37,562 and 58,499

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Solution

The third proportional to 37,562 and 58,499 is: 91,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,562 : 58,499 = 58,499 : x
  2. Step 2: Convert to fraction form
    37,562/58,499 = 58,499/x
  3. Step 3: Cross multiply
    37,562x = 58,499 × 58,499
  4. Step 4: Simplify right side
    37,562x = 3,422,133,001
  5. Step 5: Solve for x
    x = 3,422,133,001/37,562
  6. Step 6: Final answer
    x = 91,106.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.